Dear Dr. Wei:

I found a few recent articles--don't know if this is what you are looking for:

 Hybrid Chaos Synchronization of Rikitake Two-Disk Dynamo Chaotic Systems via Adaptive Control Method  S Vaidyanathan - researchgate.net

Anti-synchronization of Rikitake two-disk dynamo chaotic systems via adaptive control method S Vaidyanathan - International Journal of ChemTech Research, 2015 - sphinxsai.com

Detecting chaos in a system of four disk dynamos and its control

P Muthukumar, P Balasubramaniam, K Ratnavelu - Nonlinear Dynamics, 2015 - Springer

Analysis, control, synchronization and SPICE implementation of a novel 4-D hyperchaotic Rikitake dynamo system without equilibriumS Vaidyanathan, CK Volos… - Journal of Engineering …, 2015 - researchgate.net

Hope that helps.

Dear Dr. Wei,

Sorry, I'm unable to add any more to the information given by Dr. Schmedel. Currently this topic is not within my field of interest.

Dear Dr.

Chaos theory has a manifold variety of applications in science and engineering. The

frequent and irregular reversals of the earth’s magnetic field has motivated a number of research

studies involving electrical currents within the earth’s molten core. One of the first such

nonlinear models that exhibited the frequent and irregular reversals of the earth’s magnetic field

was Rikitake’s two-disk dynamo system (1958). Rikitake two-disk dynamo system is a chaotic

system that predated the pioneering work of Lorenz (1963). In this paper, we describe the

dynamic equations and qualitative properties of the Rikitae two-disk dynamo chaotic system. We

also derive new results for the global chaos synchronization of the Rikitake two-disk dynamo

chaotic systems. MATLAB plots have been depicted to illustrate the phase portraits of the

Rikitake two-disk dynamo chaotic attractor and the global chaos synchronization of the Rikitake

two-disk dynamo chaotic systems via adaptive control method.

Keywords: Chaos, chaotic systems, chaos synchronization, earth’s

Dear Dr

Some of my papers

1- A. R. Seadawy, Fractional solitary wave solutions of the

nonlinear higher-order extended KdV equation in a stratified

shear flow: Part I, Comp. and Math. Appl. \textbf{70} (2015)

345–352.

2- Khater, A. H., Callebaut D. K., Malfliet, W. and Seadawy A. R., Nonlinear Dispersive

Rayleigh-Taylor Instabilities in Magnetohydro-dynamic Flows,

Physica Scripta, 64 (2001) 533-547.

3- Khater, A. H., Callebaut D.

K. and Seadawy A. R., "Nonlinear Dispersive Kelvin-Helmholtz

Instabilities in Magnetohydrodynamic Flows" Physica Scripta, 67

(2003) 340-349.

4- A.R. Seadawy, Exact solutions of a two-dimensional

nonlinear Schrodinger equation, Appl. Math. Lett. 25 (2012) 687.

5- A.R. Seadawy, Stability analysis for Zakharov-Kuznetsov equation of weakly

nonlinear ion-acoustic waves in a plasma, Computers and

Mathematics with Applications 67 (2014) 172-180.

6- A.R. Seadawy, Stability analysis for two-dimensional ion-acoustic waves in

quantum plasmas, PHYSICS OF PLASMAS 21 (2014) 052107.

7- Helal, M. A. and Seadawy A. R., Variational method for the

derivative nonlinear Schrodinger equation with computational

applications, Physica Scripta, 80, (2009) 350-360.

8- Helal, M. A. and Seadawy A. R., Exact

soliton solutions of an D-dimensional nonlinear Schrodinger

equation with damping and diffusive terms, Z. Angew. Math. Phys.

(ZAMP) 62 (2011), 839-847.

9- Khater, A. H., Callebaut D. K. and Seadawy A. R., General

soliton solutions of an n-dimensional Complex Ginzburg-Landau

equation, Physica Scripta, Vol. 62 (2000) 353-357.

10- Khater, A. H., Helal M. A. and Seadawy A. R.,

General soliton solutions of n-dimensional nonlinear Schrodinger

equation" IL Nuovo Cimento 115B, (2000) 1303-1312.

11- Khater, A. H., Callebaut D. K., Helal, M. A. and Seadawy A.

R., Variational Method for the Nonlinear Dynamics of an Elliptic

Magnetic Stagnation Line, The European Physical Journal D, 39,

(2006) 237-245.

12- Khater, A. H., Callebaut D. K.,

Helal, M. A. and Seadawy A. R., General Soliton Solutions for

Nonlinear Dispersive Waves in Convective Type Instabilities,

Physica Scripta, 74, (2006) 384.

13- Seadawy A. R., Three-dimensional nonlinear modified Zakharov–Kuznetsov

equation of ion-acoustic waves in a magnetized plasma, Computers

and Mathematics with Applications 71 (2016) 201-212.

14- M.A. Helal and A.R. Seadawy, Benjamin-Feir-instability in

nonlinear dispersive waves, Computers and Mathematics with

Applications 64 (2012) 3557-3568.

15- Seadawy, A.R., and El-Rashidy, K., Traveling wave solutions for some coupled nonlinear

evolution equations by using the direct algebraic method, Math.

and Comp. model. \textbf{57} (2013) 1371.

16- A. R. Seadawy, New exact solutions for the KdV equation with higher order nonlinearity

by using the variational method, Comp. and Math. Appl. 62 (2011)

3741-3755.

17- Seadawy A. R, Stability analysis solutions for nonlinear

three-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov

equation in a magnetized electron-positron plasma" Physica A:

Statistical Mechanics and its Applications Physica A 455 (2016)

44-51.

18- A.R. Seadawy, Nonlinear wave solutions of the three-dimensional

Zakharov–Kuznetsov–Burgers equation in dusty plasma, Physica A

439 (2015) 124–131.

19- A.R. Seadawy, Stability analysis of traveling wave

solutions for generalized coupled nonlinear KdV equations, Appl.

Math. Inf. Sci. 10 (1) (2016) 209–214.